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DRA Systems: OR-Objects 1.2.4: Interface  TransformI
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<H2>
<FONT SIZE="-1">
drasys.or.geom.rect2</FONT>
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Interface  TransformI</H2>
<DL>
<DT><B>All Known Implementing Classes:</B> <DD><A HREF="../../../../drasys/or/geom/rect2/Transform.html">Transform</A></DD>
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<DT>public interface <B>TransformI</B><DT>extends <A HREF="../../../../drasys/or/geom/TransformI.html">TransformI</A></DL>

<P>
An interface used by all algorithms to abstractly access 2-D homogeneous transformations.
<P><FONT COLOR="#CC0000"><FONT SIZE=+1>References:</FONT></FONT><FONT SIZE=+1></FONT><P><B><A NAME="0201848406"HREF="http://www.amazon.com/exec/obidos/ISBN=0201848406/opsresearchcomA/" TARGET="amazon.com">Computer Graphics : Principles and Practice (Systems Programming)</A></B><BR>&nbsp;&nbsp;&nbsp;&nbsp;James D. Foley (Editor), et al; Hardcover<BR>
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<P>
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<B>Method Summary</B></FONT></TD>
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<CODE>&nbsp;void</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../drasys/or/geom/rect2/TransformI.html#combine(drasys.or.geom.rect2.TransformI)">combine</A></B>(<A HREF="../../../../drasys/or/geom/rect2/TransformI.html">TransformI</A>&nbsp;transform)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Includes the argument transform into this transform.</TD>
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<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>&nbsp;<A HREF="../../../../drasys/or/geom/rect2/PointI.html">PointI</A></CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../drasys/or/geom/rect2/TransformI.html#forward(drasys.or.geom.rect2.PointI)">forward</A></B>(<A HREF="../../../../drasys/or/geom/rect2/PointI.html">PointI</A>&nbsp;point)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Returns a point that is translated, scaled and rotated int the forward direction.</TD>
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<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>&nbsp;<A HREF="../../../../drasys/or/geom/rect2/RangeI.html">RangeI</A></CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../drasys/or/geom/rect2/TransformI.html#forward(drasys.or.geom.rect2.RangeI)">forward</A></B>(<A HREF="../../../../drasys/or/geom/rect2/RangeI.html">RangeI</A>&nbsp;range)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Returns a range that is translated, scaled and rotated int the forward direction.</TD>
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<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>&nbsp;<A HREF="../../../../drasys/or/geom/rect2/PointI.html">PointI</A></CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../drasys/or/geom/rect2/TransformI.html#inverse(drasys.or.geom.rect2.PointI)">inverse</A></B>(<A HREF="../../../../drasys/or/geom/rect2/PointI.html">PointI</A>&nbsp;point)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Returns a point that is translated, scaled and rotated int the inverse direction.</TD>
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<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>&nbsp;<A HREF="../../../../drasys/or/geom/rect2/RangeI.html">RangeI</A></CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../drasys/or/geom/rect2/TransformI.html#inverse(drasys.or.geom.rect2.RangeI)">inverse</A></B>(<A HREF="../../../../drasys/or/geom/rect2/RangeI.html">RangeI</A>&nbsp;range)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Returns a range that is translated, scaled and rotated int the inverse direction.</TD>
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<CODE>&nbsp;double</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../drasys/or/geom/rect2/TransformI.html#r11()">r11</A></B>()</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</TD>
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<CODE>&nbsp;double</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../drasys/or/geom/rect2/TransformI.html#r12()">r12</A></B>()</CODE>

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&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</TD>
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<CODE>&nbsp;double</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../drasys/or/geom/rect2/TransformI.html#r21()">r21</A></B>()</CODE>

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&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</TD>
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<CODE>&nbsp;double</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../drasys/or/geom/rect2/TransformI.html#r22()">r22</A></B>()</CODE>

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&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</TD>
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<CODE>&nbsp;void</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../drasys/or/geom/rect2/TransformI.html#rotate(double)">rotate</A></B>(double&nbsp;angleInRadians)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Adds a rotation to the transformation.</TD>
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<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>&nbsp;void</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../drasys/or/geom/rect2/TransformI.html#scale(double, double)">scale</A></B>(double&nbsp;scaleX,
      double&nbsp;scaleY)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Adds a scaling to the transformation.</TD>
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<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>&nbsp;void</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../drasys/or/geom/rect2/TransformI.html#set(double, double, double, double, double, double)">set</A></B>(double&nbsp;r11,
    double&nbsp;r12,
    double&nbsp;r21,
    double&nbsp;r22,
    double&nbsp;tx,
    double&nbsp;ty)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Sets the transformation matrix elements where the matrix is:<BR>
[r11, r12, 0]<BR>
[r21, r22, 0]<BR>
[tx,   ty, 1]<BR></TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>&nbsp;void</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../drasys/or/geom/rect2/TransformI.html#translate(double, double)">translate</A></B>(double&nbsp;deltaX,
          double&nbsp;deltaY)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Adds a translation to the transformation.</TD>
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<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>&nbsp;double</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../drasys/or/geom/rect2/TransformI.html#tx()">tx</A></B>()</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</TD>
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<TR BGCOLOR="white" CLASS="TableRowColor">
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<CODE>&nbsp;double</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../drasys/or/geom/rect2/TransformI.html#ty()">ty</A></B>()</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</TD>
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&nbsp;<A NAME="methods_inherited_from_class_drasys.or.geom.TransformI"><!-- --></A>
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<TD><B>Methods inherited from interface drasys.or.geom.<A HREF="../../../../drasys/or/geom/TransformI.html">TransformI</A></B></TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD><CODE><A HREF="../../../../drasys/or/geom/TransformI.html#forwardTransform(drasys.or.geom.PointI)">forwardTransform</A>, 
<A HREF="../../../../drasys/or/geom/TransformI.html#forwardTransform(drasys.or.geom.RangeI)">forwardTransform</A>, 
<A HREF="../../../../drasys/or/geom/TransformI.html#inputCoordinateSystem()">inputCoordinateSystem</A>, 
<A HREF="../../../../drasys/or/geom/TransformI.html#inverseTransform(drasys.or.geom.PointI)">inverseTransform</A>, 
<A HREF="../../../../drasys/or/geom/TransformI.html#inverseTransform(drasys.or.geom.RangeI)">inverseTransform</A>, 
<A HREF="../../../../drasys/or/geom/TransformI.html#outputCoordinateSystem()">outputCoordinateSystem</A></CODE></TD>
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<A NAME="tx()"><!-- --></A><H3>
tx</H3>
<PRE>
public double <B>tx</B>()</PRE>
<DL>
<DD><DL>
</DL>
</DD>
</DL>
<HR>

<A NAME="ty()"><!-- --></A><H3>
ty</H3>
<PRE>
public double <B>ty</B>()</PRE>
<DL>
<DD><DL>
</DL>
</DD>
</DL>
<HR>

<A NAME="r11()"><!-- --></A><H3>
r11</H3>
<PRE>
public double <B>r11</B>()</PRE>
<DL>
<DD><DL>
</DL>
</DD>
</DL>
<HR>

<A NAME="r12()"><!-- --></A><H3>
r12</H3>
<PRE>
public double <B>r12</B>()</PRE>
<DL>
<DD><DL>
</DL>
</DD>
</DL>
<HR>

<A NAME="r21()"><!-- --></A><H3>
r21</H3>
<PRE>
public double <B>r21</B>()</PRE>
<DL>
<DD><DL>
</DL>
</DD>
</DL>
<HR>

<A NAME="r22()"><!-- --></A><H3>
r22</H3>
<PRE>
public double <B>r22</B>()</PRE>
<DL>
<DD><DL>
</DL>
</DD>
</DL>
<HR>

<A NAME="set(double, double, double, double, double, double)"><!-- --></A><H3>
set</H3>
<PRE>
public void <B>set</B>(double&nbsp;r11,
                double&nbsp;r12,
                double&nbsp;r21,
                double&nbsp;r22,
                double&nbsp;tx,
                double&nbsp;ty)</PRE>
<DL>
<DD>Sets the transformation matrix elements where the matrix is:<BR>
[r11, r12, 0]<BR>
[r21, r22, 0]<BR>
[tx,   ty, 1]<BR><DD><DL>
</DL>
</DD>
</DL>
<HR>

<A NAME="combine(drasys.or.geom.rect2.TransformI)"><!-- --></A><H3>
combine</H3>
<PRE>
public void <B>combine</B>(<A HREF="../../../../drasys/or/geom/rect2/TransformI.html">TransformI</A>&nbsp;transform)</PRE>
<DL>
<DD>Includes the argument transform into this transform.<DD><DL>
</DL>
</DD>
</DL>
<HR>

<A NAME="translate(double, double)"><!-- --></A><H3>
translate</H3>
<PRE>
public void <B>translate</B>(double&nbsp;deltaX,
                      double&nbsp;deltaY)</PRE>
<DL>
<DD>Adds a translation to the transformation. 
Where the translation is given by:<BR>
[   1,      0,   0]<BR>
[   0,      1,   0]<BR>
[deltaX, deltaY, 1]<BR><DD><DL>
</DL>
</DD>
</DL>
<HR>

<A NAME="scale(double, double)"><!-- --></A><H3>
scale</H3>
<PRE>
public void <B>scale</B>(double&nbsp;scaleX,
                  double&nbsp;scaleY)</PRE>
<DL>
<DD>Adds a scaling to the transformation.
Where the scaling is given by:<BR>
[scaleX,    0,   0]<BR>
[   0,   scaleY, 0]<BR>
[   0,      0,   1]<BR><DD><DL>
</DL>
</DD>
</DL>
<HR>

<A NAME="rotate(double)"><!-- --></A><H3>
rotate</H3>
<PRE>
public void <B>rotate</B>(double&nbsp;angleInRadians)</PRE>
<DL>
<DD>Adds a rotation to the transformation.
Where the rotation is given by:<BR>
[ cos, sin, 0]<BR>
[-sin, cos, 0]<BR>
[  0,   0,  1]<BR><DD><DL>
</DL>
</DD>
</DL>
<HR>

<A NAME="forward(drasys.or.geom.rect2.PointI)"><!-- --></A><H3>
forward</H3>
<PRE>
public <A HREF="../../../../drasys/or/geom/rect2/PointI.html">PointI</A> <B>forward</B>(<A HREF="../../../../drasys/or/geom/rect2/PointI.html">PointI</A>&nbsp;point)
               throws <A HREF="../../../../drasys/or/geom/GeomException.html">GeomException</A></PRE>
<DL>
<DD>Returns a point that is translated, scaled and rotated int the forward direction.<DD><DL>
</DL>
</DD>
</DL>
<HR>

<A NAME="inverse(drasys.or.geom.rect2.PointI)"><!-- --></A><H3>
inverse</H3>
<PRE>
public <A HREF="../../../../drasys/or/geom/rect2/PointI.html">PointI</A> <B>inverse</B>(<A HREF="../../../../drasys/or/geom/rect2/PointI.html">PointI</A>&nbsp;point)
               throws <A HREF="../../../../drasys/or/geom/GeomException.html">GeomException</A></PRE>
<DL>
<DD>Returns a point that is translated, scaled and rotated int the inverse direction.<DD><DL>
</DL>
</DD>
</DL>
<HR>

<A NAME="forward(drasys.or.geom.rect2.RangeI)"><!-- --></A><H3>
forward</H3>
<PRE>
public <A HREF="../../../../drasys/or/geom/rect2/RangeI.html">RangeI</A> <B>forward</B>(<A HREF="../../../../drasys/or/geom/rect2/RangeI.html">RangeI</A>&nbsp;range)
               throws <A HREF="../../../../drasys/or/geom/GeomException.html">GeomException</A></PRE>
<DL>
<DD>Returns a range that is translated, scaled and rotated int the forward direction.<DD><DL>
</DL>
</DD>
</DL>
<HR>

<A NAME="inverse(drasys.or.geom.rect2.RangeI)"><!-- --></A><H3>
inverse</H3>
<PRE>
public <A HREF="../../../../drasys/or/geom/rect2/RangeI.html">RangeI</A> <B>inverse</B>(<A HREF="../../../../drasys/or/geom/rect2/RangeI.html">RangeI</A>&nbsp;range)
               throws <A HREF="../../../../drasys/or/geom/GeomException.html">GeomException</A></PRE>
<DL>
<DD>Returns a range that is translated, scaled and rotated int the inverse direction.<DD><DL>
</DL>
</DD>
</DL>
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